Finding the Fourth Proportional to 11,641.42, 16,058.01 and 7,161.58

Step by Step Solution

1. Step 1: Write the proportion equation
   11,641.42 : 16,058.01 = 7,161.58 : x
2. Step 2: Convert to fraction form
   11,641.42/16,058.01 = 7,161.58/x
3. Step 3: Cross multiply
   11,641.42x = 16,058.01 × 7,161.58
4. Step 4: Simplify right side
   11,641.42x = 115,000,723.26
5. Step 5: Solve for x
   x = 115,000,723.26/11,641.42
6. Step 6: Final answer
   x = 9,878.58